Perturbation theorems for Hermitian elements in Banach algebras

Rajendra Bhatia; Driss Drissi

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The Shirali-Ford theorem as a consequence of Ptak theory for hermitian Banach algebras

Maria Fragoulopoulou (2002)

Studia Mathematica

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A simple application of Pták theory for hermitian Banach algebras, combined with a result on normed Q-algebras, gives a non-technical new proof of the Shirali-Ford theorem. A version of this theorem in the setting of non-normed topological algebras is also provided.